Sum of two powers is a square?
                                                      by nickh@qbyte.org (Nick Hobson)
Is 2^n + 3^n (where n is an integer) ever the square of a rational number?

Triangle in a trapezoid
                                                      by nickh@qbyte.org (Nick Hobson)
In trapezoid ABCD, with sides AB and CD parallel, angle DAB = 6 degrees and angle ABC = 42 degrees. Point X on side AB is such that angle AXD = 78 degrees and angle CXB = 66 degrees. If AB and CD are 1 inch apart, prove that AD + DX - (BC + CX) = 8 inches.